10141412040200 has 192 divisors, whose sum is σ = 27221283619200. Its totient is φ = 3441705984000.

The previous prime is 10141412040167. The next prime is 10141412040223. The reversal of 10141412040200 is 204021414101.

It is a super-2 number, since 2×10141412040200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 715335512 + ... + 715349688.

It is an arithmetic number, because the mean of its divisors is an integer number (141777518850).

Almost surely, 2^{10141412040200} is an apocalyptic number.

10141412040200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10141412040200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13610641809600).

10141412040200 is an abundant number, since it is smaller than the sum of its proper divisors (17079871579000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10141412040200 is a wasteful number, since it uses less digits than its factorization.

10141412040200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19360 (or 19351 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 10141412040200 its reverse (204021414101), we get a palindrome (10345433454301).

The spelling of 10141412040200 in words is "ten trillion, one hundred forty-one billion, four hundred twelve million, forty thousand, two hundred".